Hi
f(x) = g(x) if -x²+3x-2 - ( -x+1) = 0
-x² +3x-2 +x-1 = 0
-x² +4x -3 = 0
To solve, tou have to use the general method of resolution of a quadratic fonction.
To determine if it's has a solution in R, let's calculate Δ
Δ = (4)² - 4 * (1) *(-3)
Δ = 16 +12
Δ= 28
as Δ≥ 0 so the function allow two solution within R
so S 1 = ( -4 +√28) / 2 S 2 = (-4 -√28 ) /2
S1 = ( -4 + 2√7) /2 S2 = (-4 - 2√7) /2
S1 = (2 (-2 +√7) /2 S2 2 (-2 -√7) /2
S1 = -2 +√7 S2 = -2 -√7
So the two function are equal twice. one for x = -2 +√7 and second x = -2-√7
Step-by-step explanation: Given that the graph shows the side view of a water slide with dimensions in feet.
We are to find the rate of change between the points (0, ?) and (?, 40).
From the graph, we note that
the y co-ordinate for the x co-ordinate 0 is 80 and the x co-ordinate for the y co-ordinate 40 is 5.
So, the given two points are (0, 80) and (5, 40).
The rate of change for a function f(x) between the points (a, b) and (c, d) is given by
Therefore, the rate of change for the given function between the points (0, 80) and (5, 40) is
Thus, the required rate of change is -8.
Answer:
247277 people
Step-by-step explanation:
6% of 243,000 = 14,580
243,000 + 14,580 = 257,580
4% of 257,580 = 10,303.2
Estimating 10,303.2 to 10,303
257,580 - 10,303 = 247277
Answer:
17
Step-by-step explanation:
Let us suppose two years ago my brother's age was x years
Then, my age was 3x
Three years from now, my brother's age will be (x +2+3) = (x+5) years
And my age will be (3x+2+3) = (3x+5) years
But it is given that i will be twice as old as my brother.
So, 2(x+5)= (3x+5)
or, x= 5 years
So my brother's present age is 5+2= 7 years
And my age is 5*3+2= 17 years
Answer:
c. 60 mins
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
